高阶常微分算子的迹公式

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9449

E. D. Gal’kovskii, A. Nazarov

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引用次数: 2

摘要

我们得到了闭区间上高阶微分算子的一阶迹公式，其中微扰算子是与有限复值电荷相乘的算子。对于偶阶算子，结果包含一个新类型的项，以前未知。参考书目:15篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A trace formula for higher order ordinary differential operators

We obtain a first-order trace formula for a higher order differential operator on a closed interval in the case where the perturbation operator is the operator of multiplication by a finite complex-valued charge. For operators of even orders , the result contains a term of new type, previously unknown. Bibliography: 15 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis